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Finding the Fourth Proportional to 97,217.50, 134,160.16 and 52,505.50

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Solution

The fourth proportional to 97,217.50, 134,160.16 and 52,505.50 is: 72,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217.50 : 134,160.16 = 52,505.50 : x
  2. Step 2: Convert to fraction form
    97,217.50/134,160.16 = 52,505.50/x
  3. Step 3: Cross multiply
    97,217.50x = 134,160.16 × 52,505.50
  4. Step 4: Simplify right side
    97,217.50x = 7,044,146,280.88
  5. Step 5: Solve for x
    x = 7,044,146,280.88/97,217.50
  6. Step 6: Final answer
    x = 72,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.